About the programme
The Mathematical Engineering doctoral study programme is provided by the Department of Mathematics in collaboration with the Department of Physics and Department of Software Engineering. The study programme is interdisciplinary in nature due to its basis in application of theoretical mathematical knowledge across a range of natural science fields and in engineering pratice, in the field of mathematical modelling in nature, technology and environmental protection, in the fields of modern parts of mathematical physics, in theoretical informatics and discrete mathematics, and in the field software engineering, especially applied in the natural sciences.
Doctoral students are taught not only by academic staff of FNSPE, but also by staff from co-accredited institutes of the Czech Academy of Sciences (Institute of Informatics, Institute of Information Theory and Automation, Institute of Physics, Nuclear Physics Institute, Institute of Thermomechanics). Internationally recognised research teams, many of which have received prestigious grants and awards, are also active at FNSPE.
career prospects
The Mathematical Engineering doctoral study programme builds on the education acquired at the master’s level, deepening it with more advanced and specialised disciplines.
Graduates gain a solid overview of broader areas of modern mathematics (e.g. advanced functional analysis, algebraic structures, stochastic processes, aperiodic structures, nonlinear partial differential equations) as well as of application domains (e.g. quantum mechanics, particle physics, material sciences, modern methods of informatics, environmental protection). Within the thematic scope of their dissertation, they acquire both in-depth knowledge of selected fields of modern mathematics and application-related expertise sufficient for creative, interdisciplinary research activity.
This is strongly supported by the fact that all doctoral students work throughout their studies in research teams, either directly at the faculty or in collaborating institutions, especially at institutes of the Czech Academy of Sciences. These projects are often large-scale and international in nature. Doctoral studies are also frequently carried out under joint supervision with leading foreign universities (e.g. in France and Germany). Students are encouraged to present their results at international conferences and to publish them in scholarly journals.
Graduates are well prepared for successful careers in both basic research and applied fields, as well as in broader societal practice. After completing their studies, they find employment with ease. They frequently obtain postdoctoral fellowships at universities in the Czech Republic and abroad, work at universities and institutes of the Czech Academy of Sciences, enter the financial sector, or pursue careers in software, computing, or modern technology-oriented companies.
Specializations
Doctoral studies in the Mathematical Engineering programme are offered by the Department of Mathematics in the Mathematical Modelling and Software Engineering specialisations, and in cooperation with the Department of Physics in the Mathematical Physics specialisation.
Mathematical modelling
focuses on the creation and analysis of deterministic and stochastic process models in a wide range of research fields of physics, engineering, medicine, and economics. Dissertation topics are often selected based on societal needs.
mathematical physics
focuses on mathematical problems in quantum theory, with an emphasis on abstract mathematical models using computers for numerical and symbolic computations, as well as for simulating physical processes. Many dissertation topics are derived from research projects funded by grant agencies.
software engineering
focuses on solving mathematical problems related to various areas of computer science, such as algorithms for processing and analyzing large datasets. These datasets may come from large international experimental projects in particle physics (CERN, BNL) or from patient monitoring in specific medical contexts. Much of the work involves creating algorithms and implementing them to solve specific research and commercial projects.
uplatnění
Doktorský studijní program Matematické inženýrství výrazně prohlubuje vzdělání získané na magisterském stupni pokročilejšími a/nebo specializovanými disciplínami.
Základ profilu absolventa tohoto studia sestává z přehledu o některé širší oblasti moderní matematiky (např. pokročilá funkcionální analýza, algebraické struktury, stochastické procesy, aperiodické struktury, nelineární parciální diferenciální rovnice) stejně jako o širší oblasti aplikací (např. kvantová mechanika, částicová fyzika, materiálové vědy, moderní metody informatiky, ochrana životního prostředí). V tematické oblasti své disertační práce získává absolvent jednak hluboké znalosti vybrané partie moderní matematiky, jednak poznatky z oboru aplikace dostačující k tvůrčí aktivitě interdisciplinárního charakteru. K tomu výraznou měrou přispívá také skutečnost, že všichni doktorandi po celou dobu studia pracují ve výzkumných týmech buď přímo na fakultě nebo ve spolupracujících institucích, zejména v ústavech AV ČR; nezřídka se jedná o rozsáhlé projekty nadnárodních týmů v zahraničí. Často probíhá studium pod dvojím vedením společně s významnou zahraniční univerzitou (Francie, Německo). Doktorandi jsou vedeni k prezentaci svých výsledků na mezinárodních konferencích a publikují je v odborných časopisech.
Absolventi mají dostatečné zkušenosti pro další úspěšnou kariéru jak v základním výzkumu, tak v oblasti aplikací a ve společenské praxi. Po skončení studia snadno nacházejí zaměstnání. Získávají postdoktorandská stipendia na domácích i zahraničních univerzitách, působí na vysokých školách, pracují v ústavech AV ČR, odcházejí do oblasti finančnictví, nebo se uplatňují v softwarových, počítačových či na moderní technologie zaměřených firmách.